Day 315: NDA Maths

1. A.
   $\dfrac{\pi}{4}$
2. B.
   $\dfrac{\pi}{2}$
3. C.
   $\dfrac{\pi}{2\sqrt{2}}$
4. D.
   $\dfrac{\pi}{\sqrt{2}}$

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1. A.
   $a = b = 0$
2. B.
   $a = -b \neq 0$
3. C.
   $a = b \neq 0,\ h = k$
4. D.
   $a = b \neq 0$

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1. A.
   1 only
2. B.
   2 only
3. C.
   Both 1 and 2
4. D.
   Neither 1 nor 2

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1. A.
   (-2,2)
2. B.
   [-2,2]
3. C.
   $\mathbb{R}-(-2,2)$
4. D.
   $\mathbb{R}-[-2,2]$

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1. A.
   $\sqrt{3}$
2. B.
   $\sqrt{6}$
3. C.
   $\sqrt{8}$
4. D.
   $\sqrt{4}$

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1. A.
   $2x\ln(x)-2x+c$
2. B.
   $\dfrac{2}{x}+c$
3. C.
   $2x\ln(x)+c$
4. D.
   $\dfrac{2\ln(x)}{x}-2x+c$

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